etermine the point estimate of the population proportion, the margin of error for the following c becified characteristic, x, for the sample size provided. Lower bound =0.199, upper bound = 0.521, n= 1500 The point estimate of the population proportion is (Round to the nearest thousandth as needed.) The margin of error is (Round to the nearest thousandth as needed.) The number of individuals in the sample with the specified characteristic is (Round to the nearest integer as needed.)

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Educational Content: Determining Point Estimates and Margin of Error**

In this exercise, you are tasked with determining the point estimate of the population proportion, the margin of error for a specified confidence interval, and the number of individuals in the sample with a specified characteristic.

### Given Information:

- **Confidence Interval**:
  - Lower Bound: 0.199
  - Upper Bound: 0.521
- **Sample Size (n)**: 1500

### Tasks:

1. **Point Estimate of the Population Proportion**:
   - To find the point estimate, calculate the midpoint of the confidence interval:
     \[
     \text{Point Estimate} = \frac{\text{Lower Bound} + \text{Upper Bound}}{2}
     \]

2. **Margin of Error**:
   - The margin of error is the range from the midpoint to either bound:
     \[
     \text{Margin of Error} = \text{Upper Bound} - \text{Point Estimate}
     \]

3. **Number of Individuals with the Specified Characteristic**:
   - Multiply the point estimate by the sample size:
     \[
     \text{Number of Individuals} = \text{Point Estimate} \times n
     \]

### Instructions:

- **Rounding**: 
  - Point estimate and margin of error should be rounded to the nearest thousandth.
  - Number of individuals should be rounded to the nearest integer.

**Enter your answer in each of the answer boxes provided.**

This exercise is designed to familiarize students with the concept of estimating population proportions and understanding the confidence interval calculations commonly used in statistical analysis.
Transcribed Image Text:**Educational Content: Determining Point Estimates and Margin of Error** In this exercise, you are tasked with determining the point estimate of the population proportion, the margin of error for a specified confidence interval, and the number of individuals in the sample with a specified characteristic. ### Given Information: - **Confidence Interval**: - Lower Bound: 0.199 - Upper Bound: 0.521 - **Sample Size (n)**: 1500 ### Tasks: 1. **Point Estimate of the Population Proportion**: - To find the point estimate, calculate the midpoint of the confidence interval: \[ \text{Point Estimate} = \frac{\text{Lower Bound} + \text{Upper Bound}}{2} \] 2. **Margin of Error**: - The margin of error is the range from the midpoint to either bound: \[ \text{Margin of Error} = \text{Upper Bound} - \text{Point Estimate} \] 3. **Number of Individuals with the Specified Characteristic**: - Multiply the point estimate by the sample size: \[ \text{Number of Individuals} = \text{Point Estimate} \times n \] ### Instructions: - **Rounding**: - Point estimate and margin of error should be rounded to the nearest thousandth. - Number of individuals should be rounded to the nearest integer. **Enter your answer in each of the answer boxes provided.** This exercise is designed to familiarize students with the concept of estimating population proportions and understanding the confidence interval calculations commonly used in statistical analysis.
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